Family Information
| Genus: | $13$ |
| Quotient genus: | $0$ |
| Group name: | $C_4.C_4^2$ |
| Group identifier: | $[64,21]$ |
| Signature: | $[ 0; 4, 4, 8 ]$ |
| Conjugacy classes for this refined passport: | $16, 17, 23$ |
The full automorphism group for this family is $C_2^2.D_{16}$ with signature $[ 0; 2, 4, 16 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times E\times A_{2}\times A_{4}\times E^{2}\times E^{2}$ |
| Corresponding character(s): | $5, 10, 14, 17, 22, 23, 27$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.64-21.0.4-4-8.26.1
| (1,39,5,35) (2,40,6,36) (3,37,7,33) (4,38,8,34) (9,48,13,44) (10,47,14,43) (11,46,15,42) (12,45,16,41) (17,63,21,59) (18,64,22,60) (19,61,23,57) (20,62,24,58) (25,55,29,51) (26,56,30,52) (27,53,31,49) (28,54,32,50) | |
| (1,50,15,64) (2,49,16,63) (3,51,14,62) (4,52,13,61) (5,54,11,60) (6,53,12,59) (7,55,10,58) (8,56,9,57) (17,44,31,38) (18,43,32,37) (19,42,30,39) (20,41,29,40) (21,48,27,34) (22,47,28,33) (23,46,26,35) (24,45,25,36) | |
| (1,18,3,20,2,17,4,19) (5,22,7,24,6,21,8,23) (9,26,11,28,10,25,12,27) (13,30,15,32,14,29,16,31) (33,50,35,52,34,49,36,51) (37,54,39,56,38,53,40,55) (41,58,43,60,42,57,44,59) (45,62,47,64,46,61,48,63) |